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<i>α</i>-Times Integrated C Semigroups and Strong Solution of Abstract Cauchy Problem
Basic Department, Air Force Logistics College, Xuzhou, China
Basic Department, Air Force Logistics College, Xuzhou, China
Department of Aviation Ammunition, Air Force Logistics College, Xuzhou, China
Department of Training, Air Force Logistics College, Xuzhou, China
- 1 Basic Department, Air Force Logistics College, Xuzhou, China
- 2 Basic Department, Air Force Logistics College, Xuzhou, China
- 3 Department of Aviation Ammunition, Air Force Logistics College, Xuzhou, China
- 4 Department of Training, Air Force Logistics College, Xuzhou, China
International Journal of Modern Nonlinear Theory and Application·Volume 02 (2013)·Pages 164–166·Published 19 August 2013·DOI10.4236/ijmnta.2013.23022
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Abstract
The infinite generator of α -times Integrated C semigroups and the properties of resolvent are given . At the same time , we discuss the relationship between the existence of strong solution of a class of nonhomogeneous abstract Cauchy problem and α -times integrated C semigroups, and a sufficient and necessary condition is obtained.
Keywords<i>α</i>-Times Integrated <i>C</i>SemigroupsAbstract Cauchy ProblemStrong Solution
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